Tritri

Tritri is equal to \(3 \uparrow\uparrow\uparrow 3 = 3 \uparrow\uparrow 7,625,597,484,987 = 3 \uparrow\uparrow\uparrow\uparrow 2\) or 3 pentated to 3 in up-arrow notation.[1][2] In BEAF it can be written as {3,3,3}, {3,3(1)2} or {3,2/2}. It is the third Ackermann Number.[3]Jonathan Bowers, who coined the name, has created many other googologisms based on the number 3 (such as ultatri and triakulus). This is because 3 is the smallest positive integer that does not create degenerate arrays like 1 and 2, since \(\{2,2,n\} = 4\) for all \(n > 0\).

On the group blog LessWrong, the following question was proposed as a moral thought experiment: "Would you prefer that one person be horribly tortured for fifty years without hope or rest, or that \(3 \uparrow\uparrow\uparrow 3\) people get dust specks in their eyes?"[7]